it is commonplace to flash on the scoreboard a speed for each pitch. This speed
ID: 1584323 • Letter: I
Question
it is commonplace to flash on the scoreboard a speed for each pitch. This speed is determined with a radar gun aimed by an operator er shift of microwaves reflected from the baseball. The gun determines the speed at some particular point on the baseball's path,d on when the operator pulls the trigger. Because the ball is subject to a drag force due to air proportional to the square of its speed given by R kmv2, it according to the fo mula v ve kx Suppose the ball leaves the pitcher's hand at 82.6 mi h 35.9 ms more its vertical mo or using he ono na eguation R where D is the drag coefficient (0.305 for a baseball), A is the cross-sectional area (4.2 x 103 m2 for a baseball), p is the density (1.20 kg/m3 for a baseball), and v is velocity, determine the speed the ball crosses the plate. (Take the mass of a baseball to be 0.145 kg.) m/s Need Help?Explanation / Answer
drag coefficient, D = 0.305,
cross-sec area, A = 4.20*10-3,
mass of the ball, m = 0.145 kg
k = (0.305)(4.20x10-3) / 0.145
k = 8.834*10-3
V = Voe-kx
Given Vo = 36.9 m/s
V = (36.9 m/s) e(-8.834*10^-3)(18.3 m)
V = 31.392 m/s
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